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109919251764 = 22327262312501
BaseRepresentation
bin110011001011110110…
…0101010110100110100
3101111201110110112121200
41212113230222310310
53300103312024024
6122255103012500
710640621136600
oct1462754526464
9344643415550
10109919251764
1142686608833
121937789a130
13a49986709a
14546a5a4500
152cd4e972c9
hex1997b2ad34

109919251764 has 54 divisors (see below), whose sum is σ = 323214947874. Its totient is φ = 31405500000.

The previous prime is 109919251721. The next prime is 109919251817. The reversal of 109919251764 is 467152919901.

It is a happy number.

109919251764 is a `hidden beast` number, since 109 + 9 + 19 + 2 + 517 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109117908900 + 801342864 = 330330^2 + 28308^2 .

It is a super-2 number, since 2×1099192517642 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109919251764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31154487 + ... + 31158014.

Almost surely, 2109919251764 is an apocalyptic number.

109919251764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

109919251764 is an abundant number, since it is smaller than the sum of its proper divisors (213295696110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109919251764 is a wasteful number, since it uses less digits than its factorization.

109919251764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62312525 (or 62312513 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 109919251764 in words is "one hundred nine billion, nine hundred nineteen million, two hundred fifty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 62312501 124625002 186937503 249250004 373875006 436187507 560812509 747750012 872375014 1121625018 1308562521 1744750028 2243250036 2617125042 3053312549 3925687563 5234250084 6106625098 7851375126 9159937647 12213250196 15702750252 18319875294 27479812941 36639750588 54959625882 109919251764